3(2X-(5X+2))+1=3X-9(X-3)

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Solution for 3(2X-(5X+2))+1=3X-9(X-3) equation:


Simplifying
3(2X + -1(5X + 2)) + 1 = 3X + -9(X + -3)

Reorder the terms:
3(2X + -1(2 + 5X)) + 1 = 3X + -9(X + -3)
3(2X + (2 * -1 + 5X * -1)) + 1 = 3X + -9(X + -3)
3(2X + (-2 + -5X)) + 1 = 3X + -9(X + -3)

Reorder the terms:
3(-2 + 2X + -5X) + 1 = 3X + -9(X + -3)

Combine like terms: 2X + -5X = -3X
3(-2 + -3X) + 1 = 3X + -9(X + -3)
(-2 * 3 + -3X * 3) + 1 = 3X + -9(X + -3)
(-6 + -9X) + 1 = 3X + -9(X + -3)

Reorder the terms:
-6 + 1 + -9X = 3X + -9(X + -3)

Combine like terms: -6 + 1 = -5
-5 + -9X = 3X + -9(X + -3)

Reorder the terms:
-5 + -9X = 3X + -9(-3 + X)
-5 + -9X = 3X + (-3 * -9 + X * -9)
-5 + -9X = 3X + (27 + -9X)

Reorder the terms:
-5 + -9X = 27 + 3X + -9X

Combine like terms: 3X + -9X = -6X
-5 + -9X = 27 + -6X

Solving
-5 + -9X = 27 + -6X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '6X' to each side of the equation.
-5 + -9X + 6X = 27 + -6X + 6X

Combine like terms: -9X + 6X = -3X
-5 + -3X = 27 + -6X + 6X

Combine like terms: -6X + 6X = 0
-5 + -3X = 27 + 0
-5 + -3X = 27

Add '5' to each side of the equation.
-5 + 5 + -3X = 27 + 5

Combine like terms: -5 + 5 = 0
0 + -3X = 27 + 5
-3X = 27 + 5

Combine like terms: 27 + 5 = 32
-3X = 32

Divide each side by '-3'.
X = -10.66666667

Simplifying
X = -10.66666667

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